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Finding the Fourth Proportional to 50,071.46, 69,098.13 and 27,410.22

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Solution

The fourth proportional to 50,071.46, 69,098.13 and 27,410.22 is: 37,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.46 : 69,098.13 = 27,410.22 : x
  2. Step 2: Convert to fraction form
    50,071.46/69,098.13 = 27,410.22/x
  3. Step 3: Cross multiply
    50,071.46x = 69,098.13 × 27,410.22
  4. Step 4: Simplify right side
    50,071.46x = 1,893,994,944.89
  5. Step 5: Solve for x
    x = 1,893,994,944.89/50,071.46
  6. Step 6: Final answer
    x = 37,825.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.